full
search.png

Search

close.png

Cancel

arrow
Volume 34, Issue 1
On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids

Shu Wang & Fang Yuan

DOI: 10.4208/jpde.v34.n1.2

J. Part. Diff. Eq., 34 (2021), pp. 14-41.

Published online: 2021-01

Preview Full PDF 2526 39083

Cited by

google scholar semantic scholar
Export citation
  • Abstract

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.

  • Keywords

On free boundary problem, the non-Newtonian shear thickening fluids, vacuum.

  • AMS Subject Headings

35Q35, 76A05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wangshu@bjut.edu.cn (Shu Wang)

yuanfangrose@163.com (Fang Yuan)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-14, author = {Wang , Shu and Yuan , Fang}, title = {On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {1}, pages = {14--41}, abstract = {

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n1.2}, url = {http://global-sci.org/intro/article_detail/jpde/18552.html} }
TY - JOUR T1 - On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids AU - Wang , Shu AU - Yuan , Fang JO - Journal of Partial Differential Equations VL - 1 SP - 14 EP - 41 PY - 2021 DA - 2021/01 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n1.2 UR - https://global-sci.org/intro/article_detail/jpde/18552.html KW - On free boundary problem, the non-Newtonian shear thickening fluids, vacuum. AB -

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.

Wang , Shu and Yuan , Fang. (2021). On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids. Journal of Partial Differential Equations. 34 (1). 14-41. doi:10.4208/jpde.v34.n1.2
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard